What is the Greatest Common Factor of 81289 and 81304?

Greatest common factor (GCF) of 81289 and 81304 is 1.

GCF(81289,81304) = 1

We will now calculate the prime factors of 81289 and 81304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81289 and 81304.

How to find the GCF of 81289 and 81304?

We will first find the prime factorization of 81289 and 81304. After we will calculate the factors of 81289 and 81304 and find the biggest common factor number .

Step-1: Prime Factorization of 81289

Prime factors of 81289 are 13, 37. Prime factorization of 81289 in exponential form is:

81289 = 13³ × 37¹

Step-2: Prime Factorization of 81304

Prime factors of 81304 are 2, 10163. Prime factorization of 81304 in exponential form is:

81304 = 2³ × 10163¹

Step-3: Factors of 81289

List of positive integer factors of 81289 that divides 81289 without a remainder.

1, 13, 37, 169, 481, 2197, 6253

Step-4: Factors of 81304

List of positive integer factors of 81304 that divides 81289 without a remainder.

1, 2, 4, 8, 10163, 20326, 40652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81289 and 81304. The biggest common factor number is the GCF number.
So the greatest common factor 81289 and 81304 is 1.

Also check out the Least Common Multiple of 81289 and 81304